Pseudoconvexity and Domains of Holomorphy

  • Steven G. Krantz
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Pseudoconvexity and domains of holomorphy are the two fundamental ideas in the function theory of several complex variables. The first is a differential geometric condition on the boundary. The second is an idea that comes strictly from function theory. The big result in the subject—the solution of the Levi problem—is that these two conditions are equivalent.


Distance Function Holomorphic Function Support Function Pseudoconvex Domain Peak Function 
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Copyright information

© Birkhäuser Boston, a part of Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Dept. MathematicsWashington UniversitySt.LouisUSA

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